Details

Time bar (total: 6.5s)

sample54.0ms

Algorithm
intervals
Results
30.0ms256×body80valid
12.0ms256×pre80true

simplify225.0ms

Calls
1 calls:
Slowest
224.0ms
(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize12.0ms

Local error

Found 2 expressions with local error:

8.8b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
6×add-sqr-sqrt
5×*-un-lft-identity add-cube-cbrt
4×add-cbrt-cube associate-*r* associate-*l* add-exp-log
3×sqrt-prod
2×insert-posit16 div-inv add-log-exp
1×pow2 frac-times rem-sqrt-square pow-plus pow1/2 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod
Calls
2 calls:
Slowest
4.0ms
(* (/ b a) (/ b a))
1.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series36.0ms

Calls
2 calls:
Slowest
21.0ms
(* (/ b a) (/ b a))
15.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify878.0ms

Calls
25 calls:
Slowest
162.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
107.0ms
(sqrt (* (cbrt (fabs (- 1 (* (/ b a) (/ b a))))) (cbrt (fabs (- 1 (* (/ b a) (/ b a)))))))
97.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))
95.0ms
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))
88.0ms
(sqrt (fabs (- 1 (/ (pow b 2) (pow a 2)))))

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 8.8b

localize18.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
9.1b
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
0.4b
(* (/ b a) (/ b a))
0.4b
(* (/ b a) (/ b a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×add-cbrt-cube associate-*r* associate-*l* add-exp-log
6×cbrt-prod
4×insert-posit16 div-inv add-log-exp
2×pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative pow-prod-up cbrt-unprod
Calls
4 calls:
Slowest
8.0ms
(* (/ b a) (/ b a))
8.0ms
(* (/ b a) (/ b a))
2.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
1.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))

series192.0ms

Calls
4 calls:
Slowest
82.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
73.0ms
(cbrt (fabs (- 1 (* (/ b a) (/ b a)))))
23.0ms
(* (/ b a) (/ b a))
14.0ms
(* (/ b a) (/ b a))

simplify1.7s

Calls
48 calls:
Slowest
204.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
165.0ms
(* (* (* (/ b a) (/ b a)) (/ b a)) (* (* (/ b a) (/ b a)) (/ b a)))
128.0ms
(cbrt (* (cbrt (fabs (- 1 (* (/ b a) (/ b a))))) (cbrt (fabs (- 1 (* (/ b a) (/ b a)))))))
116.0ms
(pow (fabs (- 1 (/ (pow b 2) (pow a 2)))) 1/3)
116.0ms
(cbrt (sqrt (fabs (- 1 (* (/ b a) (/ b a))))))

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 8.8b

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 7.7b against oracle of 7.7b and baseline of 7.7b

bsearch1.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
855.0ms8000×body80valid
789.0ms8000×pre80true